51133335348800 has 42 divisors (see below), whose sum is σ = 125819963296578. Its totient is φ = 20453334138880.

The previous prime is 51133335348791. The next prime is 51133335348803. The reversal of 51133335348800 is 884353333115.

It can be written as a sum of positive squares in 3 ways, for example, as 7959079161856 + 43174256186944 = 2821184^2 + 6570712^2 .

It is a super-2 number, since 2×51133335348800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51133335348803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15979165697 + ... + 15979168896.

Almost surely, 2^{51133335348800} is an apocalyptic number.

51133335348800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51133335348800 is an abundant number, since it is smaller than the sum of its proper divisors (74686627947778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51133335348800 is a wasteful number, since it uses less digits than its factorization.

51133335348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31958334615 (or 31958334600 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 51133335348800 in words is "fifty-one trillion, one hundred thirty-three billion, three hundred thirty-five million, three hundred forty-eight thousand, eight hundred".